Model-hierarchical column generation and heuristic for the routing and wavelength assignment problem

Christophe Duhamel (), Philippe Mahey (), Alexandre X. Martins (), Rodney R. Saldanha () and Mauricio C. Souza ()
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Christophe Duhamel: Université Blaise Pascal
Philippe Mahey: Université Blaise Pascal
Alexandre X. Martins: Universidade Federal de Ouro Preto
Rodney R. Saldanha: Universidade Federal de Minas Gerais
Mauricio C. Souza: Universidade Federal de Minas Gerais

4OR, 2016, vol. 14, issue 2, No 6, 220 pages

Abstract: Abstract The routing and wavelength assignment (RWA) problem typically occurs in wavelength division multiplexing optical networks. Given a number of available wavelengths, we consider here the problem of maximising the number of accepted connections with respect to the clash and continuity constraints. We first propose a new strategy which combines two existing models. This leads to an improved column generation scheme. We also present two heuristics to compute feasible solutions: a hybrid heuristic and the integer solution at the root node of the column generation. Our approaches are compared with the best existing results on a set of classic RWA instances.

Keywords: Routing and wavelength assignment; Optical networks; Column generation; Heuristics; 90 Operations research; Mathematical programming (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10288-016-0309-z

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